Printable · GCSE Foundation · ages 14-16
Circle definitions and parts of a circle worksheet — GCSE Foundation
Fifteen questions on "circle definitions and parts of a circle" — DfE statement G9. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Circle definitions and parts of a circle worksheet — GCSE Foundation
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- 1.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 2.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 3.Write down the term for the distance all the way around the edge of a circle.
- 4.In one circle, chord PQ is 6 cm long, chord RS is 10 cm long, chord TU is 14 cm long and chord VW is 15 cm long. Write down which of these chords lies closest to the centre of the circle.
- 5.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 6.A tangent to a circle touches the circle at exactly one point, P. Work out the size of the angle between the tangent and the radius drawn to P.
- 7.A chord divides a circle into two regions, one larger than the other. Write down the term used for the smaller of these two regions.
- 8.A straight line touches the edge of a circle at exactly one point and does not cross into the circle at all. Write down the term for this line.
- 9.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 10.A trundle wheel has a diameter of 0.5 m. It is rolled along the ground and makes 20 complete turns. Using π = 3.14, work out the total distance rolled, in metres.
- 11.Every diameter of a circle is an example of a more general type of straight line joining two points on the circle. Which term names that more general type of line?
- 12.A cyclist rides around a perfectly circular track with centre O. At every moment of the ride, the distance from O to the cyclist is exactly the same. Which term names this fixed distance?
- 13.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.
- 14.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 15.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
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